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Finding the Fourth Proportional to 222.98, 305.97 and 199.49

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Solution

The fourth proportional to 222.98, 305.97 and 199.49 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 305.97 = 199.49 : x
  2. Step 2: Convert to fraction form
    222.98/305.97 = 199.49/x
  3. Step 3: Cross multiply
    222.98x = 305.97 × 199.49
  4. Step 4: Simplify right side
    222.98x = 61,036.43
  5. Step 5: Solve for x
    x = 61,036.43/222.98
  6. Step 6: Final answer
    x = 273.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.